Understanding Parallel Lines and Transversals

This comprehensive page explores the geometric relationships formed when a transversal line intersects two parallel lines, introducing several critical angle concepts and their properties.

Definition: A transversal is a line that intersects two or more lines at different points.

Vocabulary: Adjacent angles are angles that share a common vertex and side, while vertical angles are opposite angles formed by intersecting lines.

Example: When two parallel lines are cut by a transversal, corresponding angles are equal, such as angle 1 equals angle 4.

Highlight: All corresponding angles are equal when formed by parallel lines and a transversal, and consecutive interior angles are supplementary (sum to 180°).

Example: For consecutive interior angles, angle 3 + angle 5 = 180° and angle 4 + angle 6 = 180°.

The page systematically categorizes angles into three main types:

1. Interior angles (located between parallel lines)
2. Exterior angles (located outside parallel lines)
3. Consecutive angles (adjacent angles that form supplementary pairs)